Split complex bi-periodic Fibonacci and Lucas numbers

DOI10.31801/cfsuasmas.704435zbMath1491.11026OpenAlexW4212975393MaRDI QIDQ5083841

Nazmiye Yilmaz

Publication date: 21 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.704435

zbMATH Keywords

generalized Fibonacci numberbi-periodic Fibonacci numberbi-periodic Lucas numbersplit complex bi-periodic Fibonacci and Lucas numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

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• Two generalizations of Lucas sequence
• Applications of hyperbolic numbers to the invariant theory in two-dimensional pseudo-Euclidean space
• A note on generalized Fibonacci sequences
• Hyperbolic calculus
• Some basic properties of the generalized bi-periodic Fibonacci and Lucas sequences
• \(f\)-algebra structure on hyperbolic numbers
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• Simson Identity of Generalized m-step Fibonacci Numbers

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